Question

tanx +tan(x+pi/3) +tan(x+2pi/3)=3
then

a)tan 2x=1 b)tan 3x=1 c)tan^2 x=1 d)tan^3x=1

Answer 1

Perhaps the most straightforward way to do this, since u are given the options is to simply test the options.

Straightforward algebra tells you tan x is not 1 so it is a) or b)

a) can be checked by using Tan x = plus minus 1/4

If it comes out, it is a) else it is b).